Fiber optic devices having volume Bragg grating elements

ABSTRACT

Apparatus and methods for controlling the spectral shape of a Bragg grating element (“VBG”) filter are disclosed. An optical system can be adapted to deliver a recording beam to the front focal plane of a lens. The recording beam may cause to be formed, in the front focal plane of the lens, an optical distribution that represents the desired filter response of the VBG element. A recording medium sample may be placed in the back focal plane of the same lens. The lens creates a true Fourier transform of the distribution in the optical plane directly on the recording medium. Via coherent interference with the plane reference wave, both the amplitude and the phase of the Fourier transform are transferred to the amplitude and phase envelope of the VBG imprinted on the recording material. A mask representing the desired filter shape may be placed in the front focal plane of the lens. The recording beam may be shone through the mask, such that a masked recording beam exits the mask in the front focal plane of the lens. The masked recording beam may represent the desired filter response of the VBG element.

CROSS-REFERENCE TO RELATED APPLICATIONS

This application is a continuation-in-part of U.S. patent applicationSer. No. 11/173,914, filed Jul. 1, 2005, which is a division of U.S.patent application Ser. No. 10/390,521, filed Mar. 17, 2003, whichclaims benefit under 35 U.S.C. § 119(e) of provisional U.S. patentapplication No. 60/365,032, filed Mar. 15, 2002, the disclosure of whichis hereby incorporated herein by reference.

FIELD OF THE INVENTION

The invention is related generally to fiber optic devices. Moregenerally, the invention relates to fiber optic devices having one ormore volume Bragg grating (VBG) elements, and methods for making suchVBG elements.

BACKGROUND OF THE INVENTION

Light wavelength selectivity of thick periodic structures was,historically, studied first in x-ray diffraction on crystalline solids.It was recognized that such selectivity arises due to the coherentaddition of the light energy diffracted by individual layers formingprecisely spaced stacks, such as that of the atomic layers of acrystalline lattice. The name of phenomenon, “Bragg diffraction,” wasgiven in recognition of the studies of it performed by Bragg.

Later, largely the same behavior was observed during the diffraction oflight at optical wavelengths on the acoustic waves of the appropriatefrequencies created inside optically transparent solid media. Acousticwaves create a periodic modulation of the index of refraction of adielectric material via perturbation of its density. As a result, anacoustic wave can be used to manipulate light based on its wavelength.Thus, it functions as a wavelength filter.

Acoustic perturbation, however, is of a temporal nature, and relaxescompletely after its source is extinguished and with it disappears thefilter. Long-lasting Bragg gratings were first utilized, perhaps, withthe invention of full-color holography. It employed relatively thickfilms of dichromatic gelatins (DCG) for holographic recording ofcolor-realistic images of 3-D objects by using lasers of differentcolors. Subsequent reconstruction of images with conventional whitelight sources became possible due to the wavelength selectivity propertyof volume Bragg gratings. However, to the inventors' knowledge, eventhough the wavelength selectivity of the volume Bragg gratings was theunderlying mechanism that enabled white-light reconstruction ofthick-layer DCG display holograms, their utility for separating,combining, or otherwise manipulating specific wavelengths of light withthe intention of achieving practical device functionality has not beenrecognized.

Use of volume Bragg gratings (VBG) recorded in doped lithium niobatephotorefractive crystals for filtering light at optical wavelengths wasadopted in construction of solar and lidar filters used to isolate lightat a particular wavelength from the broad band background. A principalissue, however, is that recording of such filters must be performed atthe same wavelength at which the filter will subsequently operate. As aresult, the use of these filters is limited to a very limited range ofwavelengths where sufficiently powerful lasers exist. Furthermore, thelist of appropriate recording materials is confined to two or threenarrow classes of photorefractive materials, which often have physicalproperties that are unsuitable for their intended mode of operation. Forexample, no material is known to the inventors that would allowconstruction of practical functional fiber-optic devices that wouldutilize volume Bragg grating filters recorded at wavelengths in therange of about 800-1650 nm.

This drawback can be partially overcome in photorefractive lithiumniobate crystals when a VBG filter is recorded through a differentsurface than that used for its operation. By using this approach,filters can be constructed in lithium niobate that can operate atwavelengths that are useful for practical photonic devices, such as, forexample, fiber-optic devices. Nonetheless, this approach is still ratherlimited due to a number of factors. First, the usable wavelength rangeis limited to λ_(op)>n*λ_(rec) on the one side, and the near infraredabsorption edge of the lithium niobate on the other. Also, for practicaldevices, the bandwidth of the filter Δλ is limited by the maximumrefractive index modulation achievable in that material (or its dynamicrange, Δn): Δλ<(λ_(op))*Δn/2n. This factor substantially limits theusefulness of this type of filter. This approach also requires the useof at least two (and typically four) polished surfaces that areorthogonal to each other, which increases the complexity of the filtermanufacturing process and its cost. Additionally, the wavelength of thefilter is substantially fixed to the value determined by the anglebetween the recording beams in the holographic setup. As a result, thewavelength must be controlled precisely for any practical device and is,therefore, unique for a particular wavelength or information-carrying“channel” of light, which complicates the issues in manufacturing ofthese elements.

SUMMARY OF THE INVENTION

A method according to the invention for controlling the spectral shapeof a VBG filter relates to the use of the Fourier transform property ofa lens and the phase capturing ability of the holographic recordingmethod. A method for creating a VBG filter with any desired spectralshape can be performed as follows. An optical system can be adapted todeliver a recording beam to the front focal plane of a lens. Such anoptical system may include one or more lenses, which may be spherical,aspherical, cylindrical, etc., spatial filters, prisms, diffractiongratings, holographic optical elements, diffractive optical elements,beam-shaping optics, amplitude and phase masks, etc. The lens may besituated in the object arm of the holographic recording setup.

The recording beam may cause to be formed, in the front focal plane ofthe lens, an optical distribution that represents the desired filterresponse of the VBG element, i.e., the desired spectral shape of the VBGfilter. The recording beam may have an amplitude and phase envelope thatcorresponds to the desired filter response. For example, if a Gaussianfilter is desired, then the recording beam may have a Gaussian shape.

A recording medium sample (e.g., a glass wafer) may be placed in theback focal plane of the same lens. The plane-wavefront reference beam ofthe holographic recording setup may overlap with the object beam on thesample, subtending it at an angle required by the target operationalwavelength of the VBG filter being recorded.

When positioned as described, the lens creates a true Fourier transformof the distribution in the optical plane directly on the recordingmedium. Via coherent interference with the plane reference wave, boththe amplitude and the phase of the Fourier transform are transferred tothe amplitude and phase envelope of the VBG imprinted on the recordingmaterial. When reconstructed, or “read,” with a light beam nearly normalto the recorded grating planes, the spectral response of the VBG filterthus recorded will take the shape of the optical distribution in thefront focal plane of the lens.

A mask representing the desired filter shape may be placed in the frontfocal plane of the lens. The recording beam may be shone through themask, such that a masked recording beam exits the mask in the frontfocal plane of the lens. The masked recording beam may represent thedesired filter response of the VBG element. Depending on the orientationof the mask relative to the grating plane, the VBG can be madereflective or transmissive.

BRIEF DESCRIPTION OF THE DRAWINGS

Certain preferred embodiments of the invention will now be described indetail with reference to the figures. Those skilled in the art willappreciate that the description given herein with respect to the figuresis for exemplary purposes only and is not intended in any way to limitthe scope of the invention.

FIGS. 1A and 1B depict reflective and transmissive VBGs, respectively.

FIG. 2 demonstrates the transparency property of a VBG.

FIG. 3 is a schematic of a device according to the invention forcombining a plurality of optical inputs into a single optical fiberoutput.

FIG. 4 is a perspective view of a preferred embodiment of a deviceaccording to the invention.

FIG. 5 depicts the interior of a device such as shown in FIG. 4.

FIG. 6 is a perspective view of another preferred embodiment of a deviceaccording to the invention.

FIG. 7 is a schematic diagram of a device such as shown in FIG. 6.

FIG. 8 is a perspective view of another preferred embodiment of a deviceaccording to the invention.

FIG. 9 is a schematic diagram of a DWDM multi-source combiner accordingto the invention.

FIG. 10 is a schematic diagram of an optical add-drop multiplexeraccording to the invention.

FIG. 11 is a schematic diagram of a multi-channel wavelength monitoraccording to the invention.

FIG. 12 depicts chain cascading of a plurality of VBGs in a fiber opticdevice according to the invention.

FIG. 13 depicts lamination cascading of a plurality of VBGs in a fiberoptic device according to the invention.

FIG. 14 depicts a multiple path device according to the invention.

FIG. 15 depicts a method according to the invention for fabricatingVBGs.

FIGS. 16A-C depict another method according to the invention forfabricating VBGs.

FIG. 17 depicts yet another method according to the invention forfabricating VBGs.

FIG. 18 depicts an integrated VBG “chip” according to the invention.

DETAILED DESCRIPTION OF ILLUSTRATIVE EMBODIMENTS

Using Sensitized Silica Glasses for Manufacturing of VBG Filters

One of the major problems in developing and using any kind of permanentVBG filters for practical applications has been the unavailability of amaterial or a class of materials possessing physical properties that areadequate for the practical applications. For example, thephotorefractive electro-optic crystals, in which much of the researchwas conducted on the subject of VBGs, among other problems, areincapable of providing truly permanent, stable recording across a widetemperature range. Furthermore, these crystals are strongly anisotropic,which limits their usage substantially. For these reasons, an entirerange of applications of VBG filters in general has not beensubstantially explored. In fact, to the inventors' knowledge, there isnot a single photonic device now in the market that uses VBG elements.

According to the invention, a previously unexplored class of materials,the silicate photorefractive glasses (PRG), can be used to enable thedesign and manufacturing of practical devices based on VBGs, withspecial emphasis on photonic devices for fiber-optic applications. Thistype of materials substantially overcomes all of the above-mentioneddrawbacks of the previously studied materials and possesses all therequired properties to manufacture devices for demanding applicationsexemplified by the fiber optics. These properties include, but are notlimited to, the following: a) optical transparency in the entire opticalwindow from UV to mid-infrared; b) outstanding longevity of the recordedgratings; c) outstanding thermal stability (>200 C); d) adequate dynamicrange; e) excellent optical quality, including the achievable polishingquality of the elements made of this material; f) low manufacturingcosts; g) ability to be formed and processed in the adequate shapes andsizes (e.g., flat disks or wafers); h) refractive index isotropy.

Compositions and processes for manufacturing such PRGs are described inU.S. Pat. No. 4,057,408 (“the 408 patent”), the disclosure of which ishereby incorporated herein by reference in its entirety. The 408 patentdiscloses photosensitive glasses, i.e., glasses which, after an exposureto high energy or actinic radiations, can be heat treated in a certainmanner to develop a colored transparent article, or which can bethermally opacified to produce a colored opal glass. More particularly,the 408 patent is directed to alkali halide silver halide-containingphotosensitive glasses which, through a sequence of shortwave radiationexposures and heat treatments, exhibit the total range of colors seen inthe visible spectrum either in the transparent or in the opacified stateand in three dimensions. As described in the 408 patent, the base glasscomposition can be varied widely, but the presence of silver, alkalioxide, fluorine, at least one of the group consisting of chlorine,bromine, and iodine, and, where ultra-violet radiations comprise theactinic radiations, cerium oxide may be required.

Manufacturing of VBG Elements in Silica Glasses by RecordingHolographically at a Specific Wavelength and Using them in Fiber-opticDevices at an Arbitrary Wavelength

As described in the literature on the theory of Bragg diffraction inthick holograms (see, e.g., Kogelnik, H., “Coupled wave theory for thickhologram gratings,” The Bell System Technical Journal, November 1969,48(9), 2909-2947), there are two basic types of the VBGs—transmissionand reflection, which are different in their mode of operation (seeKogelnik FIG. 4).

FIG. 1A depicts a reflective VBG 102 having a grating wave vector, A, inthe horizontal direction as shown. An input light beam 104 composed oflight of a plurality of wavelengths λ₁, . . . λ_(N) is directed towardthe VBG 102 at a first angle α to the input face 102A of the VBG 102.The VBG 102 is formed such that it is transparent to all but one of thewavelengths λ₁, . . . λ_(N). That is, the light beam propagates throughthe grating relatively unaffected, except that the light having acertain wavelength, λ₁, is filtered out of the beam. As a result, onlythat light 106 having wavelengths λ₂, . . . λ_(N) continues through theVBG 102 and exits the VBG 102 at a second angle β to the output face102B of the VBG 102. Preferably, the VBG 102 is fabricated so that theangle β at which the beam exits the VBG 102 is as near as possible tothe angle α at which it entered the VBG 102 (i.e., the beam continuesalong in a generally straight line). Light 108 having wavelength λ₁,however, is reflected back at an angle γ from the input face 102A of theVBG 102 because of the holography within the VBG 102. That is, the VBG102 is fabricated such that the index of refraction varies within theVBG 102 to allow light having wavelengths λ₂, . . . λ_(N) to continuethrough the VBG 102, and light having wavelength λ₁ to be reflected backat a known angle. Methods for fabricating such VBGs are discussed indetail below.

FIG. 1B depicts a transmissive VBG 112 having a grating wave vector, A,in the vertical direction as shown. An input light beam 114 composed oflight of a plurality of wavelengths λ₁, . . . λ_(N) is directed towardthe VBG 112 at a first angle α to the input face 112A of the VBG 112.The VBG 112 is formed such that it is transparent to all but one of thewavelengths. That is, the light beam propagates through the gratingrelatively unaffected, except that the light having a certainwavelength, λ₁, is filtered out of the beam. As a result, only thatlight 116 having wavelengths λ₂, . . . λ_(N) continues through the VBG112 and exits the VBG 112 at a second angle β to the output face 112B ofthe VBG 112. Preferably, the VBG 112 is fabricated so that the angle βat which the beam 116 exits the VBG 112 is as near as possible to theangle α at which it entered the VBG 112 (i.e., it continues along in agenerally straight line). Light 118 having wavelength λ₁, however, exitsthe VBG 112 at a third angle γ to the output face 112B because of theholography within the VBG 112. That is, the VBG 112 is fabricated suchthat the index of refraction varies within the VBG 112 to allow lighthaving wavelengths λ₂, . . . λ_(N) to continue relatively straightthrough the VBG 112, and light having wavelength λ₁ to be deflected asit passes through the VBG 112 such that it exits the VBG 112 at a knownangle β to the output face.

Wavelength filtering properties of transmission and reflection VBGs aredifferent primarily in the width of the filter that can be constructedin an element of practical size. Generally, reflection thick volumeholograms have very narrow wavelength bandwidth, with the upper limitdetermined by the dynamic range of the material, as described above inconnection with the example of lithium niobate VBG filters. Conversely,transmission thick volume holograms generally have wider bandwidth,which, historically, has precluded their use for the generation of whitelight color display holograms.

Nonetheless, when recorded in a sufficiently thick slab of a transparentmaterial (e.g., >1 mm), a method can be devised to record transmissionVBGs that can achieve bandwidths sufficiently narrow for practicalphotonic devices (e.g., bandwidth of 30 nm or less).

Another principal difference between reflection VBGs and transmissionVBGs is that the transmission type allows tuning of the centralwavelength of the filter by adjusting the incident angle of light uponthe VBG. For that reason, a VBG filter can be recorded at one wavelength(e.g., in the UV range where silicate PRGs are sensitive) and operate atanother (e.g., in the 850 nm to 1650 nm range typically employed invarious fiber-optic devices). This can be achieved without thelimitations of recording through an orthogonal side of the element,described above for the case of the lithium niobate VBG filters. Thismeans that: a) the range of the usable wavelengths is practicallyunlimited; b) wider bandwidths are readily available; c) there is noneed for polishing additional surfaces.

The use of permanent transmission VBGs as band-pass filters formanipulation of wavelengths in photonic devices, exemplified by thefiber-optic active and passive components, has not been explored so farprobably for one or more of the following reasons: a) strong anisotropyof the material (e.g., inorganic electro-optic photorefractivecrystals); b) impossible to manufacture in sufficiently thick layers (>1mm, e.g., DCG); c) impossible to achieve sufficient optical quality ofthe bulk material and/or polishing quality of the surfaces (e.g.,photo-polymers); d) insufficient temperature stability.

FIG. 2 demonstrates the transparency property of a VBG 200 in which aninput light beam 202 composed of light of a plurality of wavelengths λ₁,. . . λ_(N) is directed toward the VBG 200, through a lens 204, along anoptical axis, x, of the device. As shown, the input light beam 202 canbe emitted from an optical fiber 210. The VBG element 200 is fabricatedsuch that the index of refraction varies within the VBG 200 to allowlight 206 having wavelengths λ₃, . . . λ_(N) to continue relativelystraight through the VBG 200, through a lens 208, and into a receiver212, which can be another output optical fiber, for example, as shown.Light 214 having wavelength λ₁, however, is reflected back at a firstangle α from the input face 200A of the VBG 200. Similarly, light 216having wavelength λ₂ is reflected back at a second angle β from theinput face 200A of the VBG 200 because of the holography within the VBG200.

FIGS. 3-5 depict a preferred embodiment of a fiber optic device 300according to the invention for combining a plurality of optical inputs311-314 into a single optical output 310. As shown, the device 300includes four optical inputs 311-314, which can be laser diodes, asshown, or optical fibers, for example. Each optical input 311-314carries light 301-304 of a different wavelength λ₁-λ₄. The device 300also includes three VBG elements 330, 332, 334. Light 301 from the firstinput 311, having wavelength λ₁, is transmitted into the interior of thedevice 300, where it is deflected via a first deflector 320 (such as amirror, for example) such that it enters the first VBG element 330 at aknown angle. As shown, the light travels along the optical axis of thedevice, and enters the VBG 330 a known angle to the input face of theVBG 330. The first VBG 330 is transparent to light having wavelength λ₁,so the light having wavelength λ₁ exits the first VBG 330 without beingdeflected by the VBG.

Light 302 from the second input 312, having wavelength λ₂, istransmitted into the interior of the device 300, where it is deflectedvia a second deflector 322 such that it enters the first VBG element 330at a known angle. The first VBG 330 deflects the light having wavelengthλ₂ such that the light having wavelength λ₂ exits the first VBG 330without being deflected by the VBG and, therefore, is combined with thelight having wavelength λ₁.

Similarly, light 303 from the third input 313, having wavelength λ₃, istransmitted into the interior of the device 300, where it is deflectedvia a third deflector 324 such that it enters the second VBG element 332at a known angle. The second VBG 332 deflects the light havingwavelength λ₃ such that the light having wavelength λ₃ exits the secondVBG 332 without being deflected by the second VBG 332. The second VBG332 is transparent to light having wavelength λ₁ or λ₂. Consequently,the light having wavelength λ₃ is combined with the light havingwavelength λ₁ and λ₂.

Similarly, light 304 from the fourth input 314, having wavelength λ₄, istransmitted into the interior of the device 300, where it is deflectedvia a fourth deflector 326 such that it enters the third VBG element 334at a known angle. The third VBG 334 deflects the light having wavelengthλ₄ such that the light having wavelength λ₄ exits the third VBG 334without being deflected by the third VBG 334. The third VBG 334 istransparent to light having wavelength λ₁, λ₂, or λ₃. Consequently, thelight having wavelength λ₄ is combined with the light having wavelengthλ₁, λ₂, and λ₃.

Thus, an output light beam 306 composed of light have wavelengths λ₁,λ₂, λ₃, and λ₄ can be formed using a plurality of VBG elements. Theoutput light beam 306 is received by an optical receiver 310, such as anoptical fiber. It should be understood that, by reversing the directionof the light flow, a device as shown in FIG. 5 can be used to generate aplurality of output light beams, each having a known wavelength, from aninput light beam composed of light having a plurality wavelengths.

FIGS. 6 and 7 depict a preferred embodiment of a triplexerbi-directional transmitter/receiver 600 according to the invention. Asshown, the device 600 includes an optical input 613, two opticaloutputs, such as receivers 611, 612, and a bi-directional opticalcarrier 614, each of which can be an optical fiber, for example. Thebi-directional carrier 614 carries light 604 having wavelengths λ₁ . . .λ₃ as shown. The first output 611, which may be a photodiode, forexample, as shown, receives light 601 of wavelength λ₁. The secondoutput 612, which may also be a photodiode, for example, as shown,carries light 602 of wavelength λ₂. The optical input 613, which may bea laser diode, for example, as shown, transmits light 603 of wavelengthλ₃.

The VBG 610 is fabricated such that it is transparent to light havingwavelength λ₃, which is transmitted to the VBG 610 via the optical input613. The VBG 610 can also be fabricated such that it deflects light 601having wavelength λ₁ and light 602 having wavelength λ₂. The light 601having wavelength λ₁ can be received by the first optical output 611,and the light having wavelength λ₂ can be received by the second opticaloutput 612. The bi-directional carrier 614 carries light 604 havingwavelength λ₁ and wavelength λ₂ in a first direction (toward the VBG)and wavelength λ₃ in a second direction (away from the VBG).

FIG. 8 depicts a preferred embodiment of a Xenpak form-factor CWDMtransmitter 800 according to the invention. As shown, the device 800includes an optical input 811 and four optical outputs 812-815, each ofwhich can be a laser diode, as shown, or an optical fiber, for example.The optical input carries light having wavelengths λ₁, . . . λ₄. Thefirst output 811 carries light of wavelength λ₁; the second output 812carries light of wavelength λ₂; the third output 813 carries light ofwavelength λ₃; and the fourth output 814 carries light of wavelength λ₄.

FIG. 9 is a schematic diagram of a DWDM multi-source combiner 900according to the invention. As shown, the multi-source combiner 900includes four optical inputs 911-914, such as optical fibers, forexample. Each optical input 911-914 carries light of a differentwavelength λ₁, . . . λ₄ as shown. The device 900 also includes two VBGelements 932, 934. Light 901 from the first input 911, having wavelengthλ₁, is transmitted, preferably through a lens 921, such that it entersthe first VBG element 932 at a first known angle α. The first VBG 932 isfabricated such that the light 901 having wavelength λ₁ is deflectedfrom the first VBG 932 along the optical axis x of the device 900.Similarly, light 902 from the second input 912, having wavelength λ₂, istransmitted, preferably through a lens 922, such that it enters thefirst VBG element 932 at a second known angle β. The first VBG 932 isfabricated such that the light 902 having wavelength λ₂ is alsodeflected from the first VBG 932 along the optical axis x of the device900.

Light 903 from the third input 913, having wavelength λ₃, istransmitted, preferably through a lens 923, such that it enters thesecond VBG element 934 at a third known angle γ. The second VBG 934 isfabricated such that the light 903 having wavelength λ₃ is deflectedfrom the VBG 934 along the optical axis x of the device 900. Similarly,light 904 from the fourth input 914, having wavelength λ₄, istransmitted, preferably through a lens 924, such that it enters thesecond VBG element 934 at a fourth known angle δ. The second VBG 924 isfabricated such that the light 904 having wavelength λ₄ is alsodeflected from the second VBG 924 along the optical axis x of the device900. The first VBG 932 is transparent to light having wavelength λ₃ andλ₄. Thus, light beams having respective wavelengths λ₁, λ₂, λ₃, and λ₄can be combined into a single optical beam 905, which can then betransmitted, preferably through a lens 925, to an optical receiver 915,such as an optical fiber, for example.

FIG. 10 is a schematic diagram of a free-space optical add-dropmultiplexer (OADM) 1000 according to the invention. As shown, the OADM1000 includes an optical input 1011, such as an optical fiber, forexample, that carries light 1001 having wavelengths λ₁, . . . λ_(N) asshown. As shown in FIG. 10, the OADM 1000 includes a VBG element 1020that is fabricated to reflect light 1002 having wavelength λ₁. The VBG1020 is transparent to light having wavelengths λ₂, . . . λ_(N). Thelight beam 1001 from the first input 1011 is incident onto the VBG 1020at a first angle α to a first face 1020A of the VBG element 1020.Consequently, a light beam 1002 having wavelength λ₁ is deflected at asecond angle β from the face 1020A of the VBG element 1020. The lightbeam 1002 having wavelength λ₁ is thus “dropped” from the input signal,and can be directed to an optical receiver 1012, such as another opticalfiber, for example.

The OADM 1000 also includes an additional input 1013, which can be anoptical fiber, for example, that carries a light beam 1003 havingwavelength λ_(N+1). The light beam 1003 having wavelength λ_(N+1) isincident onto the VBG 1020 at an angle γ to a second face 1020B of theVBG 1020. The VBG element 1020 is fabricated to reflect light havingwavelength λ_(N+1) from the second face 1020B such that the light 1003from the additional input 1013 is combined with the light from the firstinput to form an output light beam 1004 having wavelengths λ₂, . . .λ_(N+1). The output light beam 1004 can be directed to an opticalreceiver 1014, such as another optical fiber, for example.

FIG. 11 is a schematic diagram of a multi-channel wavelength monitor1100 according to the invention. As shown, the multi-channel wavelengthmonitor 1100 includes an optical input 1115 that carries light 1005having wavelengths λ₁, . . . λ_(N). The monitor 1100 also includes twoVBG elements 1132, 1134. The input light beam 1105 is transmitted,preferably through a lens 1125, such that it enters the first VBGelement 1132 at a first known angle (preferably, along the optical axisx of the device 1100, that is, 90° to the face 1132A of the first VBG1132). The first VBG 1132 is fabricated such that the light 1101 havingwavelength λ₁+Δ is deflected from the first VBG 1132 at a first angle α,and light 1102 having wavelength λ₁−Δ is deflected from the first VBG1132 at a second angle β. The first VBG 1132 is transparent to the restof the wavelengths in the input beam 1105. Light 1101 having wavelengthλ₁+Δ may be received by an optical receiver 1111, and light 1102 may bereceived by an optical receiver 1112.

The light beam is then transmitted to the second VBG element 1134, whichis fabricated such that the light 1103 having wavelength λ₂+Δ isdeflected from the second VBG 1134 at a first angle γ, and light 1104having wavelength λ₂−Δ is deflected from the second VBG 1134 at a secondangle δ. Light 1103 having wavelength λ₂+Δ may be received by an opticalreceiver 1113, and light 1104 having wavelength λ₂−α may be received byan optical receiver 1114. The second VBG 1134 is transparent to the restof the wavelengths in the beam. The output beam 1106 can then bereceived, preferably through a lens 1126, by an optical receiver 1116,which can be another optical fiber, for example.

Methods for Packaging Devices with Large Channel Counts Using VBGFilters

One of the main advantages of VBG filters and, indeed, their uniqueproperty is the ability to record multiple filters sharing the samevolume of the material. This allows for the fabrication of devices ofvery small size and unique functionality. Nevertheless, the number ofgratings that can share the same volume, known as the multiplexingnumber, or the M/#, in the holographic memory field, is limited by thedynamic range of the material. For that reason, for practical materialssuitable for manufacturing of VBG filters, that number will typically berather limited (a realistic estimate is around 4 filters for a 4 mmthick element). Furthermore, fabrication of VBG filters with a largernumber of gratings becomes progressively more complex, while at the sametime reducing the flexibility in packaging them in a device. Inaddition, when sharing the same volume, the combined effect of the VBGscan be obtained via the coherent addition of the effects of theindividual gratings, which results in the appearance of cross-terms,leading sometimes to undesirable side effects. It is, therefore,desirable to have a practical method for manufacturing devices withsufficiently large channel count. According to one aspect of theinvention, fiber optic devices can be fabricated which can have abasically unlimited number of channels while using very simple VBGelements as building blocks.

FIG. 12 depicts a device according to the invention in which any numberof transmissive VBG filters can be combined to construct a device withan arbitrary channel count and for an arbitrary set of wavelengths.Preferably, the VBG filters are identical, thereby reducing the cost offabrication. In this approach, the individual VBG elements arepositioned on the main optical axis of the device and their tilt anglesare adjusted individually in order to tune it to the peak wavelength ofthe desired channel. This approach may be referred to as “chaincascading.”

As shown in FIG. 12, an optical input 1214 carries light 1204 havingwavelengths λ₁, . . . λ_(N). Light 1204 is incident on a first VBGelement 1232 along the optical axis x of the device. The first VBG 1232is fabricated such that the light 1201 having wavelength λ₁ is deflectedfrom the first VBG 1232 at a first angle α to the exit face 1232B of theVBG 1232. As shown, the VBG 1232 is positioned such that its gratingvector A and exit face 1232B are perpendicular to the optical axis x ofthe device. Thus, the light 1201 having wavelength λ₁ is deflected fromthe first VBG 1232 at an angle 90−α to the optical axis x of the device.The device may include a first optical receiver 1211 that receives thedeflected beam 1201. The first VBG 1232 is transparent to the rest ofthe wavelengths λ₂, . . . λ_(N) in the input beam 1204, such that atransmitted beam 1205 having wavelengths λ₂, . . . λ_(N) is transmittedthrough the VBG 1232 along the optical axis x.

The transmitted beam 1205 is incident on a second VBG element 1234. Thesecond VBG 1234 may be fabricated, like the first VBG 1234, such thatlight having wavelength λ₁ would be deflected from the second VBG 1234at a first angle α to the exit face 1234B of the VBG 1234. As shown, theVBG 1234 is positioned such that its grating vector A and exit face1234B are at a known angle θ (>90°) to the optical axis x of the device.Light 1202 having wavelength λ₂ is deflected from the second VBG 1234 ata known angle β to the exit face 1234B of the VBG 1234 (and, therefore,at a known angle to the optical axis x). The device may include a secondoptical receiver 1212 that receives the deflected beam 1202. The secondVBG 1234 is transparent to the rest of the wavelengths λ₃, . . . λ_(N)in the transmitted beam 1205, such that a second transmitted beam 1206having wavelengths λ₃, . . . λ_(N) is transmitted through the VBG 1234along the optical axis x.

The transmitted beam 1206 is incident on a third VBG element 1236. Thethird VBG 1236 may be fabricated, like the first VBG 1232, such thatlight having wavelength λ₁ would be deflected from the third VBG 1236 ata first angle α to the exit face 1236B of the VBG 1236. As shown, theVBG 1236 is positioned such that its grating vector A and exit face1236B are at a known angle φ (<90°) to the optical axis x of the device.Light 1203 having wavelength λ₃ is deflected from the third VBG 1236 ata known angle γ to the exit face 1236B of the VBG 1236 (and, therefore,at a known angle to the optical axis x). The device may include a thirdoptical receiver 1213 that receives the deflected beam 1203. The thirdVBG 1236 is transparent to the rest of the wavelengths λ₄, . . . λ_(N)in the transmitted beam 1206, such that a third transmitted beam 1207having wavelengths λ₁, . . . λ_(N) is transmitted through the VBG 1236along the optical axis x. The device may include a fourth opticalreceiver 1215 that receives the transmitted beam 1207.

FIG. 13 depicts a device according to the invention that includes acomplex VBG filter element that has been fabricated from a number ofsimple, possibly identical, VBG elements. In function it is similar tothe device described above in connection with FIG. 12 but instead ofbeing positioned and adjusted individually in the package, the elementscan be properly positioned in a suitable fixture in direct physicalcontact with one another and then permanently bonded together, usingsuitable bonding materials that are well known in the art, thus creatinga single compounded element with complex functionality.

The positioning of the individual VBG elements with respect to oneanother in such an arrangement can be important to the usefulness of theassembly. Methods of exercising such control can include: a) propersurface preparation of the wafers of the recording material, such aspolishing, parallelism of the surfaces etc.; b) proper rotationalorientation of the elements with respect to each other during thebonding procedure; c) use of calibrated spacers to the adjust relativeangle between the individual VBG elements; d) precise control of thetilt angle of the wafer with respect to the recording laser beams duringthe holographic recording process.

This approach, referred to as “lamination cascading,” enables theachievement of the same density of the grating packing in the samepackage volume as the direct multiplexing of the filters during therecording process, but without the need of multiple exposures andwithout the physical overlap, and thus interference, of the individualfilters in the bulk of the material.

As shown in FIG. 13, an optical input 1314 carries light 1304 havingwavelengths λ₁, . . . λ_(N). Light 1304 is incident on a series of VBGelements 1332-1334 along the optical axis x of the device. The VBGelements 1332-1334 are fabricated such that light 1301 having wavelengthλ₁ is deflected from the third VBG 1334 at a first angle α to the exitface 1334B of the VBG 1334, light 1302 having wavelength λ₂ is deflectedfrom the third VBG 1334 at a second angle β to the exit face 1334B ofthe VBG 1334, and light 1303 having wavelength λ₃ is deflected from thethird VBG 1334 at a third angle γ to the exit face 1334B of the VBG1334. The device may include a first optical receiver 1311 that receivesthe deflected beam 1301, a second optical receiver 1312 that receivesthe deflected beam 1302, and a third optical receiver 1313 that receivesthe deflected beam 1303. The VBGs 1332-1334 may be transparent to therest of the wavelengths λ₁, . . . λ_(N) in the input beam 1304, suchthat a transmitted beam 1305 having wavelengths λ₄, . . . λ_(N) istransmitted through the VBGs 1332-1334 along the optical axis x. Thedevice may include a fourth optical receiver 1314 that receives thetransmitted beam 1304.

FIG. 14 depicts a device according to the invention in which any simple,individual VBG element can be used for processing several wavelengthchannels by allowing multiple paths through it in different directions.In its simplest form, the so-called “double pass configuration”functions as follows:

A series of simple individual VBG elements is positioned in line asdescribed above in connection with FIG. 12. A mirror is placed at theend of the chain of the elements, which reflects the transmitted lightback onto the same elements. This has the effect of folding the chain ofthe elements back onto itself. The mirror angle is adjusted slightly, sothat the angle of the back-reflected light is somewhat different thanthe forward-propagating light. This angle is adjusted in such a way asto tune the center wavelength of the VBG filters to the desired value.

In such an implementation, the method allows using each of the VBGelements more than once, thus effectively increasing the number offilters without increasing the number of VBG elements, and therebyenabling the overall size of the package to remain practically the same.Multiple path folding is also possible if an additional mirror is usedin the beginning of the chain of the VBG elements, slightly offset fromthe axis in angle and space.

As shown in FIG. 14, an optical input 1415 carries light 1405 havingwavelengths λ₁, . . . λ_(N). Light 1405 is incident on a first VBGelement 1432 along the optical axis x of the device. The first VBG 1432is fabricated such that light 1401 having wavelength λ₁ is deflectedfrom the first VBG 1432 at an angle α to the exit face 1432B of thefirst VBG 1432. The first VBG 1432 is transparent to the rest of thewavelengths λ₂, . . . λ_(N) in the input beam 1405, such that atransmitted beam 1406 having wavelengths λ₂, . . . λ_(N) is transmittedthrough the VBG 1432 along the optical axis x.

The transmitted beam 1406 is incident on a second VBG element 1434. Thesecond VBG 1434 is fabricated such that light 1402 having wavelength λ₂is deflected from the second VBG 1434 at an angle β to the exit face1434B of the second VBG 1434. The second VBG 1434 is transparent to therest of the wavelengths λ₃, . . . λ_(N) in the transmitted beam 1406,such that a transmitted beam 1407 having wavelengths λ₃, . . . λ_(N) istransmitted through the VBG 1434 along the optical axis x.

The transmitted beam 1407 is directed toward a mirror 1420, which isdisposed at an angle φ to the optical axis x of the device. Thereflected beam 1408 is incident on the second VBG 1434 at an angle φ tothe exit face 1434B. The second VBG 1434 is fabricated such that light1403 having wavelength λ₃ is deflected from the second VBG 1434 at anangle γ to the entrance face 1434A of the second VBG 1434. The secondVBG 1434 is transparent to the rest of the wavelengths λ₄ . . . λ_(N) inthe reflected beam 1408, such that a reflected beam 1409 havingwavelengths λ₄, . . . λ_(N) is transmitted through the VBG 1434.

The reflected beam 1409 is incident on the first VBG 1432 at an angle φto the exit face 1432B. The first VBG 1434 is fabricated such that light1404 having wavelength λ₄ is deflected from the first VBG 1432 at anangle δ to the entrance face 1432A of the first VBG 1432. The first VBG1432 is transparent to the rest of the wavelengths λ₅, . . . λ_(N) inthe reflected beam 1409, such that a reflected beam 1410 havingwavelengths λ₅, . . . λ_(N) is transmitted through the VBG 1432.

The device may include a first optical receiver that receives thedeflected beam 1401, a second optical receiver that receives thedeflected beam 1402, and a third optical receiver that receives thedeflected beam 1403, and a fourth optical receiver that receives thedeflected beam 1404. The device may also include a fifth opticalreceiver that receives the reflected beam 1410.

It should be understood that any of the techniques described above canbe optimized to take maximum advantage of VBG properties such as:transparency to all but one wavelength, angular tunability,functionality distributed over the volume of a thick material, materialrigidity and dimensional stability, excellent polishing qualities, andthe like.

Methods for Economically Manufacturing VBG Elements

In the manufacturing of VBG elements, it is typically desirable tominimize the costs of production of such elements. For that reason,holographic recording of each element individually is likely to becost-prohibitive for most or all of the high-volume applications. Anumber of methods according to the invention for cost-effectiveproduction of such elements will now be described.

A first such method, depicted in FIG. 15, exploits the unique propertyof a hologram, whereupon each fractional piece of the recorded hologrampossesses full and complete information about the recorded object. Whenapplied to the VBG filters recorded on the PRG plates, it means thateach piece of such plate, or wafer, should have the same filteringproperties as the wafer in whole. For that reason, a large-size wafer1500 can be diced, using a suitable cutting device, such as a saw, forexample, into a large number of relatively small individual VBG elements1502, each with complete filter functionality. In following thisprocess, one could significantly reduce the number of recording andtesting operations, thereby reducing the manufacturing costs of the VBGelements.

A second cost-reduction method according to the invention applies to therepetitive fabrication of the filter with identical properties. Such anapproach is particularly suitable for high-volume productionenvironments. In such circumstances reproduction of a filter with acomplex shape, which may require, for example, multiple exposure stepsto achieve the complete control over its spectral shape, may result in aprohibitively long and complex manufacturing operations. However, sinceholography allows true and complete reconstruction of the recordedwavefront, it is, therefore, possible to record a hologram of thereconstructed wavefront, rather than the true original, to achieve thesame result.

This approach includes: a) placing a “virgin” recording wafer directlybehind a recorded “master” hologram; and b) directing the reference beamonto the master hologram in exactly the same fashion as during therecording of the master. The transmitted reference wave and thereconstructed object wave interfere again behind the master hologram.Consequently, a new hologram is recorded on the virgin wafer, which isan exact replica of the master.

The advantages of this method include but are not limited to thefollowing: a) better stability (not sensitive to the phasefluctuations); b) simpler setup (no filter shape control required); c)no polishing on the virgin wafer is required, if it is placed in directcontact with the master and an index matching fluid is used on theinterface; and d) shorter cycle times (higher throughput).

Methods to Control the Filter Response Function

When used in practical applications such as in fiber-optic devices, forexample, the spectral shape of a filter can be used to manipulate thewavelengths of light in a desired fashion. The filter shape candetermine such device parameters as adjacent channel isolation,cross-talk, suppression ratio, etc. The ability to control the spectralshape of the VBG filters, therefore, can make the difference between apractically usable device and a practically useless one.

As follows from the general theory of Bragg diffraction (see Kogelnik),the spectral shape of the filter created by a VBG is related via aFourier transform to the amplitude and phase envelope of the VBG alongthe general direction of propagation of the affected light wave. It is,therefore, desirable to be able to control both in order to create afilter with a desired spectral shape.

A method according to the invention for controlling the spectral shapeof a VBG filter relates to the use of the Fourier transform property ofa lens and the phase capturing ability of the holographic recordingmethod. As depicted in FIG. 16A, a method for creating a VBG filter withany desired spectral shape can be performed as follows. An opticalsystem 1600 can be adapted to deliver a recording beam 1601 to the frontfocal plane 1602 of a lens 1604. Such an optical system 1600 may includeone or more lenses, which may be spherical, aspherical, cylindrical,etc., spatial filters, prisms, diffraction gratings, holographic opticalelements, diffractive optical elements, beam-shaping optics, amplitudeand phase masks etc. The lens 1604 may be situated in the object arm ofthe holographic recording setup.

The recording beam 1601 may cause to be formed, in the front focal plane1602 of the lens 1604, an optical distribution that represents thedesired filter response of the VBG element, i.e., the desired spectralshape of the VBG filter. The recording beam 1601 may have an amplitudeand phase envelope that corresponds to the desired filter response. Forexample, if a Gaussian filter is desired, then the recording beam 1601may have a Gaussian shape.

A recording medium sample 1606 (e.g., a glass wafer) may be placed inthe back focal plane of the same lens 1604. The plane-wavefrontreference beam 1607 of the holographic recording setup may overlap withthe object beam 1605 on the sample, subtending it at an angle requiredby the target operational wavelength of the VBG filter being recorded.

When positioned as described, the lens 1604 creates a true Fouriertransform of the distribution in the optical plane 1602 directly on therecording medium 1606. Via coherent interference with the planereference wave, both the amplitude and the phase of the Fouriertransform are transferred to the amplitude and phase envelope of the VBGimprinted on the recording material. When reconstructed, or “read,” witha light beam nearly normal to the recorded grating planes, the spectralresponse of the VBG filter thus recorded will take the shape of theoptical distribution in the front focal plane of the lens.

This method allows for a single exposure recording of a filter withpractically arbitrary complexity of the shape of the spectral responsefunction and may be referred to as the “parallel method” or the“holographic filter imprinting method.”

A holographic filter imprinting method according to the invention can besimilarly applied to the task of shaping the filter response function oftransmission VBG filters. It may be accomplished by choosing a properorientation of an apodizing mask relative to the direction of thegrating planes and, similarly, by choosing the proper entrance and exitfaces on the VBG element.

As shown in FIGS. 16B and 16C, a mask 1612 representing the desiredfilter shape may be placed in the front focal plane of the lens 1604.The recording beam 1601 may be shone through the mask 1612, such that amasked recording beam 1616 exits the mask 1612 in the front focal planeof the lens 1604. The masked recording beam 1616 may represent thedesired filter response of the VBG element.

Example methods for making transmissive and reflective VBGs using such amask are depicted in FIGS. 16B and 16C respectively. As shown, a mask1612 having a slit 1614 can be placed in the front focal plane of thelens. Light shone through the mask will generate a square wave 1616. Asthe light passes though the lens, the Fourier transform 1618 of thesquare wave will be imprinted on the sample 1620. When reconstructed,the spectral response of the pattern 1622 recorded on the VBG filter1620 will take the shape of a square wave 1624. Depending on theorientation of the mask relative to the grating plane, the VBG can bemade reflective (as shown in FIG. 16B) or transmissive (as shown in FIG.16C).

Method for Controlling the Shape of Transmissive VBG Filters

Furthermore, when dealing with VBG filters functioning in thetransmission geometry, a different approach can be taken in order tomanipulate the spectral shape of the filter. In this case, the method,which is depicted in FIG. 17, comprises multiple, sequential exposuresof the same volume of the recording material. Each exposure wouldproduce a simple plane VBG, but after recording multiple gratings afilter of an arbitrary shape will be constructed via coherent additionof the recorded VBGs. Volume Bragg gratings are physical representationsof sinusoidal waves, and, therefore, their coherent sum is a Fouriertransform of an envelope function.

For that reason, a close representation of an arbitrary amplitude andphase envelope function can be constructed via a series of holographicexposures, provided appropriate control is exercised over both theamplitude and the relative phase of the gratings recorded in such seriesof exposures. Such control can be achieved via employing techniques foractive measurement and stabilization of the phase of the recorded VBGs.

As shown in FIG. 17, a virgin sample 1702 is subjected to a first pairof incident beams 1712 and 1714. Beam 1712 is incident on the entranceface 1702A of the virgin sample 1702 at an angle α relative to theentrance face 1702A (and, as shown, relative to the grating vector A).Beam 1714 is incident on the entrance face 1702A of the virgin sample1702 at an angle β relative to the entrance face 1702A (and, as shown,relative to the grating vector A). Thus, a first holographic sample 1704is formed having a first holographic image 1722.

The first holographic sample 1704 is then subjected to a second pair ofincident beams 1716 and 1718. Beam 1716 is incident on the entrance face1704A of the first holographic sample 1704 at an angle γ relative to theentrance face 1704A (and, as shown, relative to the grating vector A).Beam 1718 is incident on the entrance face 1704A of the firstholographic sample 1704 at an angle δ relative to the entrance face1704A (and, as shown, relative to the grating vector A). Thus, a secondholographic sample 1706 is formed having a second holographic image1724.

VBG Chip

FIG. 18 depicts an integrated VBG “chip” according to the invention. Asshown, the VBG chip 1800 is a monolithic glass structure into which aplurality of holographic images or “gratings” have been recorded. Anoptical input 1815 carries light 1805 having wavelengths λ₁, . . .λ_(N). Light 1805, which may be collimated, is incident on a firstgrating 1822. Grating 1822 is recorded such that light 1801 havingwavelength λ₁ is deflected at an angle such that it is received bygrating 1832. Grating 1832 is recorded such that it deflects the light1801 out of the chip 1800 toward an optical receiver 1811. Grating 1822is transparent to the rest of the wavelengths λ₂, . . . λ_(N) in theinput beam 1805, such that a transmitted beam 1806 having wavelengthsλ₂, . . . λ_(N) is transmitted through the grating 1822.

The transmitted beam 1806 is incident on grating 1824, which is recordedsuch that light 1802 having wavelength λ₂ is deflected at an angle suchthat it is received by grating 1834. Grating 1834 is recorded such thatit deflects the light 1802 out of the chip 1800 toward an opticalreceiver 1812. Grating 1824 is transparent to the rest of thewavelengths λ₃, . . . λ_(N) in the beam 1806, such that a transmittedbeam 1807 having wavelengths λ₃, . . . λ_(N) is transmitted through thegrating 1824.

Similarly, the transmitted beam 1807 is incident on grating 1826, whichis recorded such that light 1803 having wavelength λ₃ is deflected at anangle such that it is received by grating 1836. Grating 1836 is recordedsuch that it deflects the light 1803 out of the chip 1800 toward anoptical receiver 1813. Grating 1826 is transparent to the rest of thewavelengths λ₄, . . . λ_(N) in the beam 1807, such that a transmittedbeam 1808 having wavelengths λ₄, . . . λ_(N) is transmitted through thegrating 1826.

The transmitted beam 1808 is incident on grating 1828, which is recordedsuch that light 1804 having wavelength λ₄ is deflected at an angle suchthat it is received by grating 1838. Grating 1838 is recorded such thatit deflects the light 1804 out of the chip 1800 toward an opticalreceiver 1814. Grating 1828 is transparent to the rest of thewavelengths λ₅, . . . λ_(N) in the beam 1808, such that a transmittedbeam 1809 having wavelengths λ₅, . . . λ_(N) is transmitted through thegrating 1828. The transmitted beam 1809 is directed toward an opticalreceiver 1815. As shown, each of the optical receivers 1811-1814 and1816 can be an optical fiber, for example. Any or all of the opticalreceivers 1811-1814 and 1816 can be bundled together to form an opticalfiber ribbon, for example.

A VBG chip as shown can be made according to the following method. Oneor more incident beams are directed toward a first location of a virginsample (to form grating 1822, for example). Then, the beams are turnedoff, and either the sample or the source of illumination is positioned(e.g., the sample may be moved laterally and/or rotationally asnecessary) such that the incident beam(s) may now be directed toward asecond location on the sample (to form grating 1824, for example). Thisprocess is repeated until all desired gratings have been recorded.

Thus, there have been described fiber optic devices comprising volumeBragg gratings and methods for fabricating the same. Those skilled inthe art will appreciate that numerous changes and modifications can bemade to the preferred embodiments of the invention, and that suchchanges and modifications can be made without departing from the spiritof the invention. Examples of devices that can be made in accordancewith the invention include, without limitation, 1×N laser sourcecombiners, multi-channel transmit/receive modules (includingtriplexers), optical add-drop multiplexers, terminal multiplexers,network monitors, wavelength lockers, tunable filters, tunable gainequalizers, dispersion compensators, and the like.

1. Apparatus for producing an optical element having a desired spectralfilter response, the apparatus comprising: a lens having a front focalplane and a back focal plane; an optical system adapted to deliver arecording beam to the front focal plane of the lens, wherein therecording beam causes to be formed, in the front focal plane of thelens, a light beam having a distribution of amplitude and phase thatrepresents the desired filter response of the optical element; and arecording medium positioned in the back focal plane of the lens, suchthat the lens causes a Fourier transform of the distribution in thefront focal plane of the lens to be recorded on the recording medium. 2.Apparatus according to claim 1, wherein the lens is situated in anobject arm of a holographic recording setup.
 3. Apparatus according toclaim 2, wherein the distribution of amplitude and phase represents adesired spectral shape of the filter.
 4. Apparatus according to claim 3,wherein the recording beam has an amplitude and phase envelope thatcorresponds to the desired filter response.
 5. Apparatus according toclaim 4, wherein the amplitude and phase envelope of the recording beamhas a Gaussian shape.
 6. Apparatus according to claim 1, wherein anamplitude and phase of the Fourier transform are transferred to anamplitude and phase of an envelope of a Bragg grating recorded on therecording medium.
 7. Apparatus according to claim 6, wherein theamplitude and phase of the Fourier transform are transferred to theamplitude and phase of the envelope of the Bragg grating via coherentinterference between the recording beam and a reference recording beam.8. Apparatus according to claim 7, wherein the recording beam isincident on a surface of the recording medium, and wherein the referencerecording beam is incident on the same surface of the recording mediumas the recording beam.
 9. according to claim 1, wherein the opticalsystem includes at least one of a lens, a spatial filter, a prism, adiffraction grating, a holographic optical element, a diffractiveoptical element, beam-shaping optics, and an amplitude and phase mask.10. Apparatus according to claim 1, further comprising a mask thatcorresponds to the desired spectral filter response of the opticalelement.
 11. The apparatus of claim 1, wherein the recording medium is aphotorefractive glass.
 12. The apparatus of claim 1, wherein therecording medium is a silicate photorefractive glass.
 13. The apparatusof claim 1, wherein the recording medium is a photosensitive glass. 14.The apparatus of claim 1, wherein the recording medium is aphotosensitive glass containing a halide.
 15. The apparatus of claim 1,wherein the recording medium is a photosensitive glass containingsilver.
 16. The apparatus of claim 1, wherein the recording medium is aphotosensitive glass containing silver, an alkali oxide, fluorine, andat least one of chlorine, bromine, or iodine.
 17. The apparatus of claim16, wherein the recording medium is a photosensitive glass containingcerium oxide.
 18. The apparatus of claim 1, wherein the recording mediumis a sensitized silica glass.
 19. A method for producing an opticalelement having a desired spectral filter response, the methodcomprising: providing a lens that defines front and back focal planes;delivering a recording beam to the front focal plane of a lens, whereinthe recording beam causes to be formed, in the front focal plane of thelens, a light beam having a distribution of amplitude and phase thatrepresents the desired filter response of the optical element; andpositioning a recording medium in the back focal plane of the lens, suchthat the lens causes a Fourier transform of the distribution in thefront focal plane of the lens to be recorded on the recording medium.20. The method of claim 19, wherein the lens is situated in an objectarm of a holographic recording setup.
 21. The method of claim 19,wherein the distribution of amplitude and phase represents a desiredspectral shape of the filter.
 22. The method of claim 19, wherein therecording beam has an amplitude and phase envelope that corresponds tothe desired filter response.
 23. The method of claim 19, wherein theamplitude and phase envelope of the recording beam has a Gaussian shape.24. The method of claim 19, wherein an amplitude and phase of theFourier transform are transferred to an amplitude and phase of anenvelope of a Bragg grating recorded on the recording medium.
 25. Themethod of claim 24, wherein the amplitude and phase of the Fouriertransform are transferred to the amplitude and phase of the envelope ofthe Bragg grating via coherent interference between the recording beamand a reference recording beam.
 26. The method of claim 25, wherein therecording beam is incident on a surface of the recording medium, andwherein the reference recording beam is incident on the same surface ofthe recording medium as the recording beam.
 27. The method of claim 19,wherein the optical system includes at least one of a lens, a spatialfilter, a prism, a diffraction grating, a holographic optical element, adiffractive optical element, beam-shaping optics, and an amplitude andphase mask.
 28. The method of claim 19, further comprising: placing amask in the front focal plane of the lens, wherein the mask correspondsto the desired spectral filter response of the optical element.
 29. Themethod of claim 19, wherein the recording medium is a photorefractiveglass.
 30. The method of claim 19, wherein the recording medium is asilicate photorefractive glass.
 31. The method of claim 19, wherein therecording medium is a photosensitive glass.
 32. The method of claim 19,wherein the recording medium is a photosensitive glass containing ahalide.
 33. The method of claim 19, wherein the recording medium is aphotosensitive glass containing silver.
 34. The method of claim 19,wherein the recording medium is a photosensitive glass containingsilver, an alkali oxide, fluorine, and at least one of chlorine,bromine, or iodine.
 35. The method of claim 34, wherein the recordingmedium is a photosensitive glass containing cerium oxide.
 36. The methodof claim 19, wherein the recording medium is a sensitized silica glass.37. A three-dimensional optical element having a desired spectral filterresponse, the optical element made according to a method comprising:providing a lens that defines front and back focal planes; delivering arecording beam to the front focal plane of a lens, wherein the recordingbeam causes to be formed, in the front focal plane of the lens, a lightbeam having a distribution of amplitude and phase that represents thedesired filter response of the optical element; and positioning arecording medium in the back focal plane of the lens, such that the lenscauses a Fourier transform of the distribution in the front focal planeof the lens to be recorded on the recording medium.
 38. The opticalelement of claim 37, wherein the lens is situated in an object arm of aholographic recording setup.
 39. The optical element of claim 37,wherein the distribution of amplitude and phase represents a desiredspectral shape of the filter.
 40. The optical element of claim 37,wherein the recording beam has an amplitude and phase envelope thatcorresponds to the desired filter response.
 41. The optical element ofclaim 37, wherein the amplitude and phase envelope of the recording beamhas a Gaussian shape.
 42. The optical element of claim 37, wherein anamplitude and phase of the Fourier transform are transferred to anamplitude and phase of an envelope of a Bragg grating recorded on therecording medium.
 43. The optical element of claim 42, wherein theamplitude and phase of the Fourier transform are transferred to theamplitude and phase of the envelope of the Bragg grating via coherentinterference between the recording beam and a reference recording beam.44. The optical element of claim 43, wherein the recording beam isincident on a surface of the recording medium, and wherein the referencerecording beam is incident on the same surface of the recording mediumas the recording beam.
 45. The optical element of claim 37, wherein theoptical system includes at least one of a lens, a spatial filter, aprism, a diffraction grating, a holographic optical element, adiffractive optical element, beam-shaping optics, and an amplitude andphase mask.
 46. The optical element of claim 37, further comprising:placing a mask in the front focal plane of the lens, wherein the maskcorresponds to the desired spectral filter response of the opticalelement.
 47. The optical element of claim 37, wherein the recordingmedium is a photorefractive glass.
 48. The optical element of claim 37,wherein the recording medium is a silicate photorefractive glass. 49.The optical element of claim 37, wherein the recording medium is aphotosensitive glass.
 50. The optical element of claim 37, wherein therecording medium is a photosensitive glass containing a halide.
 51. Theoptical element of claim 37, wherein the recording medium is aphotosensitive glass containing silver.
 52. The optical element of claim37, wherein the recording medium is a photosensitive glass containingsilver, an alkali oxide, fluorine, and at least one of chlorine,bromine, or iodine.
 53. The optical element of claim 52, wherein therecording medium is a photosensitive glass containing cerium oxide. 54.The optical element of claim 37, wherein the recording medium is asensitized silica glass.